4,031,377

7² × 29 × 2837

4,031,377 factors as 7^2 × 29 × 2837. Its 12 positive divisors give a proper-divisor sum of 821,603, so this integer is deficient. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 7^2 × 29 × 2837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,852,980

Proper Divisor Sum 821,603

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4031369 ← → #4031389

Radix Representation

Decimal	4031377
Binary	1111011000001110010001 (22 bits)
Octal	0o17301621
Hexadecimal	0x3D8391

Divisor Catalog (12)

1 7 29 49 203 1,421 2,837 19,859 82,273 139,013 575,911 4,031,377

Collatz Trajectory (322 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,031,377 12,094,132 6,047,066 3,023,533 9,070,600 4,535,300 2,267,650 1,133,825 3,401,476 1,700,738 850,369 2,551,108 1,275,554 637,777 1,913,332 956,666 478,333 1,435,000 717,500 358,750 179,375 538,126 269,063 807,190 403,595 1,210,786 605,393 1,816,180 908,090 454,045 1,362,136 681,068 340,534 170,267 510,802 255,401 766,204 383,102 191,551 574,654 287,327 861,982 430,991 1,292,974 646,487 1,939,462 969,731 2,909,194 1,454,597 4,363,792 2,181,896 1,090,948 545,474 272,737 818,212 409,106 204,553 613,660 306,830 153,415

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